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41

Sep 22, 2013
09/13

by
Johan L. Dupont; Franz W. Kamber

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We generalize Abel's classical theorem on linear equivalence of divisors on a Riemann surface. For every closed submanifold $M^d \subset X^n$ in a compact oriented Riemannian $n$--manifold, or more generally for any $d$--cycle $Z$ relative to a triangulation of $X$, we define a (simplicial) $(n-d-1)$--gerbe $\Lambda_{Z}$, the Abel gerbe determined by $Z$, whose vanishing as a Deligne cohomology class generalizes the notion of `linear equivalence to zero'. In this setting, Abel's theorem remains...

Source: http://arxiv.org/abs/0811.0961v2

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69

Sep 21, 2013
09/13

by
Jochen Brüning; Franz W. Kamber; Ken Richardson

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In this expository paper, we explain a formula for the multiplicities of the index of an equivariant transversally elliptic operator on a $G$-manifold. The formula is a sum of integrals over blowups of the strata of the group action and also involves eta invariants of associated elliptic operators. Among the applications is an index formula for basic Dirac operators on Riemannian foliations, a problem that was open for many years. This paper summarizes the work in the papers arXiv:1005.3845...

Source: http://arxiv.org/abs/1008.2016v2

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Sep 22, 2013
09/13

by
Franz W. Kamber; Peter W. Michor

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For a finite dimensional Lie algebra $\g$ of vector fields on a manifold $M$ we show that $M$ can be completed to a $G$-space in a unversal way, which however is neither Hausdorff nor $T_1$ in general. Here $G$ is a connected Lie group with Lie-algebra $\g$. For a transitive $\g$-action the completion is of the form $G/H$ for a Lie subgroup $H$ which need not be closed. In general the completion can be constructed by completing each $\g$-orbit.

Source: http://arxiv.org/abs/math/0310308v1

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36

Sep 17, 2013
09/13

by
Franz W. Kamber; Peter W. Michor

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For a vector field $X$ on a smooth manifold $M$ there exists a smooth but not necessarily Hausdorff manifold $M_\Bbb R$ and a complete vector field $X_\Bbb R$ on it which is the universal completion of $(M,X)$.

Source: http://arxiv.org/abs/math/0007173v1

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Sep 22, 2013
09/13

by
Johan L. Dupont; Franz W. Kamber

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The notion of a gerbe with connection is conveniently reformulated in terms of the simplicial deRham complex. In particular the usual Chern-Weil and Chern-Simons theory is well adapted to this framework and rather easily gives rise to `characteristic gerbes' associated to families of bundles and connections. In turn this gives invariants for families of foliated bundles. A special case is the Quillen line bundle associated to families of flat SU(2)-bundles

Source: http://arxiv.org/abs/math/0308076v3

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64

Sep 21, 2013
09/13

by
Jochen Brüning; Franz W. Kamber; Ken Richardson

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In this paper we prove a formula for the analytic index of a basic Dirac-type operator on a Riemannian foliation, solving a problem that has been open for many years. We also consider more general indices given by twisting the basic Dirac operator by a representation of the orthogonal group. The formula is a sum of integrals over blowups of the strata of the foliation and also involves eta invariants of associated elliptic operators. As a special case, a Gauss-Bonnet formula for the basic Euler...

Source: http://arxiv.org/abs/1008.1757v1

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35

Sep 20, 2013
09/13

by
Steven B. Bradlow; James F. Glazebrook; Franz W. Kamber

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Given a Kaehlerian holomorphic fiber bundle whose fiber is a compact homogeneous Kaehler manifold, we describe the perturbed Hermitian-Einstein equations relative to certain holomorphic vector bundles. With respect to special metrics on the holomorphic bundles, there is a dimensional reduction procedure which reduces these equations to a system of equations on the base, known as the twisted coupled vortex equations.

Source: http://arxiv.org/abs/math/0405205v1

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47

Sep 6, 2019
09/19

by
Franz W. Seidler, Carlos Whitlock Porter, Michael Collins Piper, FreedomMedia, and others

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CAUTION: Work contains disturbing content and photographs of prisoner abuse, torture and murder Crimes Against the Wehrmacht VERBRECHEN AN DER WEHRMACHT By Franz W. Seidler Translated by Carlos Whitlock Porter Perfect companion to the hard copy book you already own. Fair use. For Disabled, Blind, etc. Such material is made available for educational purposes. Rights belong to their respective holders. Additional works, comments, educational analysis, etc., do not necessarily reflect those of...

Topics: Nuremberg, Gentile, Christian, Moslem, Sea Water Medical Experiments, Oradour-sur-Glane, Gestapo,...

Mendeley Climate Change Library

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5.0

Jul 6, 2019
07/19

by
Letizia Bernardo; Paolo Carletti; Franz W. Badeck; Fulvia Rizza; Caterina Morcia; Roberta Ghizzoni; Youssef Rouphael; Giuseppe Colla; Valeria Terzi; Luigi Lucini

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Under global climate change forecasts, the pressure of environmental stressors (and in particular drought) on crop productivity is expected to rise and challenge further global food security. The application of beneficial microorganisms may represent an environment friendly tool to secure improved crop performance and yield stability. Accordingly, this current study aimed at elucidating the metabolomic responses triggered by mycorrhizal (Funneliformis mosseae) inoculation of durum (Triticum...

Topics: Brassinosteroids, Funneliformis mosseae, Phytohormones, ROS, Triticum aestivum, Triticum durum,...